Home / 1,144.08-1,575.23-975.74

Finding the Fourth Proportional to 1,144.08, 1,575.23 and 975.74

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Solution

The fourth proportional to 1,144.08, 1,575.23 and 975.74 is: 1,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.08 : 1,575.23 = 975.74 : x
  2. Step 2: Convert to fraction form
    1,144.08/1,575.23 = 975.74/x
  3. Step 3: Cross multiply
    1,144.08x = 1,575.23 × 975.74
  4. Step 4: Simplify right side
    1,144.08x = 1,537,002.17
  5. Step 5: Solve for x
    x = 1,537,002.17/1,144.08
  6. Step 6: Final answer
    x = 1,343.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.